Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39480bd |
Isogeny class |
Conductor |
39480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
353740800 = 211 · 3 · 52 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7369600,7697956448] |
[a1,a2,a3,a4,a6] |
Generators |
[1603:2478:1] |
Generators of the group modulo torsion |
j |
21613523250701301292802/172725 |
j-invariant |
L |
8.2827861844339 |
L(r)(E,1)/r! |
Ω |
0.57412136745895 |
Real period |
R |
3.6067226608785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78960g4 118440v4 |
Quadratic twists by: -4 -3 |